Caroline and sarah win some money and share it in the ratio 2: 1. caroline gets £45 more than sarah. how much did sarah get?

Step-by-step explanation:

ratio of 2:1total of 3so caroline gets 2/3 of the money and sarah gets 1/3 of the money. Let the total amount of money be x.

so caroline = 2/3x and sarah = 1/3x

caroline gets 45 more then sarah

2/3x = 1/3x + 45

2/3x - 1/3x = 45

1/3x = 45

x = 45 * 3

x = 135so the total money is $ 135

caroline gets 2/3 of it2/3(135) = 270/3 = $ 90

sarah gets 1/3 of it1/3(135) = 135/3 = $ 45 <===

45

Step-by-step explanation:

Since the ratio of their share is 2 : 1 , Let Sarah's share be x , then Caroline's share will be 2x.

Since Caroline gets 45 more than Sarah , then

2x = x + 45 ,

2x - x = 45

x = 45

This means that Sarah's share is 45 and Caroline's share will be 90

add an image

step-by-step explanation:

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions